Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p, # P2. Sample data are x, = 30, n, = 255, x2 = 36, and n2 = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: P1 = 0 versus H,: p, = 0 O B. Ho: P1 = p2 versus H,: P1 P2 D. Ho: P, = p2 versus H,: P1 * P2 (b) The test statistic zo is -.07. (Round to two decimal places as needed.) (c) The P-value is .944. (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Reject the null hypothesis because there is not sufficient evidence to conclude that p, < p2. O B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, #p2 OC. Reject the null hypothesis because there is sufficient evidence to conclude that p, #p2. O D. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, >P2.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Section8.7: Probability
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Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently
using simple random sampling.
Test whether p1 + p2. Sample data are x, = 30, n, = 255, X, = 36, and n, = 301.
(a) Determine the null and alternative hypotheses. Choose the correct answer below.
A. Ho: p, = 0 versus H,: p, = 0
B. Ho: P1 = P2 versus H1: p1 <P2
O C. Ho: P1 = P2 versus H1:P1 > P2
D. Ho: P1 = P2 versus H,: p1 # P2
(b) The test statistic zo is - .07. (Round to two decimal places as needed.)
(c) The P-value is .944 . (Round to three decimal places as needed.)
Test the null hypothesis. Choose the correct conclusion below.
A. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <p2.
B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, + p2.
OC. Reject the null hypothesis because there is sufficient evidence to conclude that
P1
+ P2.
D. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, > p2.
Transcribed Image Text:Conduct the following test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling. Test whether p1 + p2. Sample data are x, = 30, n, = 255, X, = 36, and n, = 301. (a) Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: p, = 0 versus H,: p, = 0 B. Ho: P1 = P2 versus H1: p1 <P2 O C. Ho: P1 = P2 versus H1:P1 > P2 D. Ho: P1 = P2 versus H,: p1 # P2 (b) The test statistic zo is - .07. (Round to two decimal places as needed.) (c) The P-value is .944 . (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. A. Reject the null hypothesis because there is not sufficient evidence to conclude that p, <p2. B. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, + p2. OC. Reject the null hypothesis because there is sufficient evidence to conclude that P1 + P2. D. Do not reject the null hypothesis because there is sufficient evidence to conclude that p, > p2.
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